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Earthland
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Homework Statement
Need to prove that:
,b means partial differentation with respect to b, G is the metric tensor and Γ is Christoffel symbol.
I think I could proceed with this quite well if I could understand the hint given, that I should lower the index j.
Homework Equations
am=Gmjaj
The Attempt at a Solution
For the first member on the left I could write
GmjGjk∂k=δkm∂k=∂k
and else than that it should stay the same
For members on the right, lowering j would give me
vα(vj,α+Γjαβvβ)
However, what should I do with the second member on the left? And I am told that this one is the important one.